Download Translating Verbal Phrases to Algebraic Expressions

Math 6/7 NOTES 5.4
Name:_______________________________
Translating Verbal Phrases to Algebraic Expressions
To translate statements into expressions and equations:

Identify ___________ _____________ that indicate the operation.

Write the numbers/variables in the correct order.
The SUM of
_____________ and _____________ : ______________________
The DIFFERENCE of
_____________ and _____________ : ______________________
The PRODUCT of
_____________ and _____________ : ______________________
The QUOTIENT of
_____________ and _____________ : ______________________
Write each verbal phrase as an algebraic expression.
1) the sum of 8 and t
2) the quotient of g and 15
3) the product of 5 and b
4) the difference of 32 and x
LESS THAN (the first number subtracted from the second!
MORE THAN (the first number added to the second!
5) Eight more than x
_____________
SWITCH THE
ORDER OF
THE TERMS!
6) Six less than p ______________
Write the phrase five dollars less than Jennifer earned as an algebraic expression.
Key Words five dollars less than Jennifer earned
Variable Let d represent # of $ Jennifer earned
Expression
d–5
7) 14 less than f
8) p more than 10
9) 3 more runs than Pirates scored
10) 12 less than some number
IS,
EQUALS,
IS EQUAL TO… Substitute with equal sign.
11) Arthur is 8 years younger than Tanya
12) Kelly’s test score is 6 points higher than Mike’s
13) 5 more than a number is 6.
14) The product of 7 and b is equal to 63.
15) The sum of r and 45 is 79.
16) The quotient of x and 7 is equal to 13.
TWICE = DOUBLE = 2 times a number = multiply by 2
HALF = divide the number by 2
17) Twice as many points as Bob
Addition Phrases
8 more than a number
The sum of 8 and a number
x increased by 8
the total of x and 8
Multiplication Phrases
Twice a number
The product of 2 and n
2 multiplied by a number
2 times a number
18) Half the age of Sally
Expression
x+8
Expression
2n
Subtraction Phrases
The difference of r and 6
r decreased by 6
6 less than a number
6 subtracted from a number
Division Phrases
The quotient of z and 3
A number divided by 3
The ratio of z and 3
Expression
r-6
Expression
Practice: Underline key words. Write each phrase as an algebraic expression or equation.
19) Seven less than a number is 15
20) The total of 5 and c
21) 7 less than m
22) The sum of a number and 16 is 23
23) the score increased by 8 points
24) The quotient of w and 10 is equal to 7
25) 17 more than some number is 57
26) $12 less than the original price is $48
Translate each expression or equation into a word expression or statement.
27)
9y
_________________________________________________________________________
28)
x – 8 = 14
_________________________________________________________________________
29)
= 24
________________________________________________________________________________
Writing Two-Step Expressions and Equations
YOU MUST USE
PARENTHESES to x or ÷ a
(SUM) or (DIFFERENCE)!
30)
Six less than twice a number x is four
31)
Nine times a number decreased by four
32)
Two less than the quotient of 15 and a number
33)
Five times the sum of six and some number
34)
The quotient of 7 and d decreased by 9
35)
Twice the difference of y and three
36)
37)
The sum of 5 and product of 7 and x
38)
39)
The product of 4 and the difference of x and 3
40) The product of the difference of x and 3 and 4
The difference of 9 and the quotient of s and –4
Three more than quotient of 5 and a
Write an equation or expression to match the verbal phrase.
41) Five less than twice a number is 7.
__________________________________________
42) One less than the product of four and a number is 11. __________________________________________
43) Ten more than the quotient of a number and 3 is 12.
__________________________________________
44) The sum of 9 and the quotient of x and 7 is 11.
__________________________________________
Write the verbal phrase to match each expression or equation.
45)
46)
2 ( 5 + t ) = 8 _______________________________________________________________________
- 10 = 3
_____________________________________________________________________________
47)
7(b + 2)
_______________________________________________________________________
48)
2c – 5
_______________________________________________________________________
Homework (5.4)
Name ____________________________________
Translate each verbal phrase into an algebraic expression:
1. Seven more than the quotient of a number and 2 is 10.
2. Six less than six times a number is 12.
3. The product of 8 and the difference of n and 3.
4. Seven more than twice a number is 1.
Identify the terms, variables, coefficients, and constants in each expression.
5. –3a – 2b + 6c + 9
6. 4z + 3 – 2z – z
Terms:
Terms:
Variables:
Variables:
Coefficients:
Coefficients:
Constants:
Constants:
Write an example of:
Simplify:
7. equation:
10. (–3)6a =
8. inequality:
11. –6(–2d) =
9. expression:
12. (–7x)(–5) =
Translate:
13) k + 12 _____________________________________________________________________________________
14) 17(y + 11) __________________________________________________________________________________
15) 3b – 8 ______________________________________________________________________________________
16. The sum of a number and 16 is equal to 45.
17. The product of 6 and m is 216.
18. The difference of 100 and x is 57.
19. The quotient of z and 10 increased by 32.
20. $18 less than the original price is $48.
21. 17 more than some number is equal to 85.
22. The number of members divided by 6 is 15.
23. The total of Joshua’s savings and $350 is $925.